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Existence of Limit

Find f'-3 usi...

Question

Find f'(-3) using definition if $f (x) = \frac{2 x}{x - 3}$

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Solution

$\begin{matrix} f (- 3) = & \frac{2 \cdot (- 3)}{(- 3) - 3} = \frac{- 6}{- 6} = 1 \end{matrix}$

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